Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 25 , Issue 4 , PP: 169-175, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Ideal of a Near Algebra

P. Narasimha Swamy 1 , Bhurgula Harika 2 , T. Nagaiah 3 , L. Bhaskar 4 , K. Vijay Kumar 5

  • 1 Department of Mathematics, School of Science, GITAM Deemed to be University, Hyderabad campus, India - (swamy.pasham@gmail.com)
  • 2 Department of Humanities & Sciences, Malla Reddy College of Engineering & Technology, Hyderabad, India - (harika.burgula84@gmail.com)
  • 3 Department of Mathematics, Kakatiya University, Warangal, India - (nagaiahtandu@gmail.com)
  • 4 Department of Mathematics, National Institute of Technology, Raipur, India - (bhaskarlavudya1226@gmail.com)
  • 5 Department of Mathematics, KU College of Engineering and Technology, Kakatiya University, Warangal, India - (vijay.kntm@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.250414

    Received: June 18, 2024 Revised: October 10, 2024 Accepted: December 24, 2024
    Abstract

    This article introduces the idea of neutrosophic ideal of a near algebra and provides a definition and example. A few fundamental features related to this approach are also explored. We also present the topics neutrosophic near algebra homomorphism, kernel of a neutrosophic near algebra and coset of a neutrosophic ideal of a near algebra. It is been briefed with the appropriate definitions and theorems on it. It is been proved that sum of the right neutrosophic ideal of a near algebra is also a right neutrosophic ideal of a near algebra over a neutrosophic field.

    Keywords :

    Field , Neutrosophic set , Near algebra , Ideal , homomorphism

    References

    [1]       A. A. Agboola and B. Davvaz, "Introduction to neutrosophic nearrings," Annals of Fuzzy Mathematics and Informatics, vol. 12, no. 3, pp. 397–410, 2016.

    [2]       A. A. Agboola and S. A. Akinleye, "Neutrosophic vector spaces," Neutrosophic Sets and Systems, vol. 4, 2014.

    [3]       A. A. Agboola, A. D. Akinola, and O. Y. Oyebola, "Neutrosophic Rings I," International Journal of Mathematical Combinatorics, vol. 4, pp. 1–14, 2011.

    [4]       A. A. Agboola, A. O. Akwu, and Y. T. Oyebo, "Neutrosophic groups and Neutrosophic Subgroups," International Journal of Mathematical Combinatorics, vol. 3, pp. 1–9, 2012.

    [5]       L. Bhaskar, P. Narasimha Swamy, and G. Nanaji Rao, "Vague Γ- Near Algebra over Vague Field," Southeast Asian Bulletin of Mathematics, vol. 48, pp. 15–22, 2024.

    [6]       H. Brown, "Near algebra," Illinois Journal of Mathematics, vol. 12, pp. 215–227, 1968.

    [7]       Harika, K. Rajani, P. Narasimha Swamy, T. Nagaiah, and L. Bhaskar, "Neutrosophic near algebra over neutrosophic field," International Journal of Neutrosophic Science, vol. 22, no. 2, pp. 29–34, 2023.

    [8]       H. Bhurgula, N. S. Pasham, R. Bandaru, and A. S. Alali, "Hybrid near algebra," Axioms, vol. 12, p. 877, 2023.

    [9]       P. Narasimha Swamy, B. Harika, K. Vijay Kumar, B. Jyothi, and K. Rajani, "A note on Hybrid Coset of a Nearring," Communications on Applied Nonlinear Analysis, vol. 31, no. 2, 2024.

    [10]    T. Nagaiah, L. Bhaskar, P. Narasimha Swamy, and S. Broumi, "A Study on Neutrosophic Algebra," Neutrosophic Sets and Systems, vol. 50, 2022.

    [11]    G. Pilz, Near-ring. Amsterdam: North-Holland Publishers, 1983.

    [12]    F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability. Rehoboth: American Research Press, 2003.

    [13]    W. B. Vasantha Kanda Swamy and F. Smarandache, Fuzzy Algebra. Rehoboth: American Research Press, 2003.

    [14]    W. B. Vasantha Kanda Swamy and F. Smarandache, Basic Neutrosophic Algebraic Structures and Their Applications to Fuzzy and Neutrosophic Models. Church Rock: Hexis, 2004.

     

    [15]    L. A. Zadeh, "Fuzzy sets," Information and Control, vol. 8, pp. 338–353, 1965.

    Cite This Article As :
    Narasimha, P.. , Harika, Bhurgula. , Nagaiah, T.. , Bhaskar, L.. , Vijay, K.. Neutrosophic Ideal of a Near Algebra. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 169-175. DOI: https://doi.org/10.54216/IJNS.250414
    Narasimha, P. Harika, B. Nagaiah, T. Bhaskar, L. Vijay, K. (2025). Neutrosophic Ideal of a Near Algebra. International Journal of Neutrosophic Science, (), 169-175. DOI: https://doi.org/10.54216/IJNS.250414
    Narasimha, P.. Harika, Bhurgula. Nagaiah, T.. Bhaskar, L.. Vijay, K.. Neutrosophic Ideal of a Near Algebra. International Journal of Neutrosophic Science , no. (2025): 169-175. DOI: https://doi.org/10.54216/IJNS.250414
    Narasimha, P. , Harika, B. , Nagaiah, T. , Bhaskar, L. , Vijay, K. (2025) . Neutrosophic Ideal of a Near Algebra. International Journal of Neutrosophic Science , () , 169-175 . DOI: https://doi.org/10.54216/IJNS.250414
    Narasimha P. , Harika B. , Nagaiah T. , Bhaskar L. , Vijay K. [2025]. Neutrosophic Ideal of a Near Algebra. International Journal of Neutrosophic Science. (): 169-175. DOI: https://doi.org/10.54216/IJNS.250414
    Narasimha, P. Harika, B. Nagaiah, T. Bhaskar, L. Vijay, K. "Neutrosophic Ideal of a Near Algebra," International Journal of Neutrosophic Science, vol. , no. , pp. 169-175, 2025. DOI: https://doi.org/10.54216/IJNS.250414

    Article Statistics

    View
    66
    Download
    45

    Download